Statistics
Quadratics
Exponential Functions
Word Problems
Functions
100
200 people were surveyed to find out which ice cream flavor is the best, chocolate or vanilla. 100 of the people surveyed chose vanilla. What percent of the people surveyed chose chocolate.
50%
100
A ball is thrown into the air with an initial upward velocity of 48 ft/s. It's height h in feet after t seconds is given by the function h(t)= -16t²+48t+4. What is the initial height of the ball?
4 feet
100
The equation V(t) = 12,000(0.75)^t represents the value of a motorcycle t years after it was purchased. What was the original price of the motorcycle?
$12,000
100
Ethan has 2 dimes. If Ethan has $1.70, how may quarters does he have?
6 quarters.
100
The graph of y=lxl is shifted down 6 units and to the left by 9 units. What is the new equation of the graph?
lxl= absolute value of x
y=lx+9l-6
200
15
200
Solve -16x²+32x+16=0 by using the quadratic formula.
1+or-√2
200
A population of 15 mice doubles every year. How many mice are there in the 10th year?
15,360 Mice.
200
If 6 times a # is decreased by 6, the result is the same as when 3 times the # is increased by 12. Find the #.
The # is 6.
200
If f(x) = 2(3^x) + 1, what is the value of f(2)
^x=to the x power
19
300
The class average in a class of 15 is 86%. If one additional student earns a 100% in the class, what is the new class average.
86.875%
300
The zeros of the function f(x) = x³- 9x² are?
0 and 9
300
A high school sponsored a badminton tournament. After each round, one-fourth of the players were eliminated. If there were 64 players at the start of the tournament, how many players were left after 3 rounds?
27 players.
300
Kevin is 4 years older than Margaret . Next year, Kevin will be double the age of Margaret. How old is Margaret? How old is Kevin?
Kevin is 7 and Margaret is 3.
300
State the domain and range of the function f(x)= √x+5.
Domain= x≥-5
Range= x≥0
400
Fraz surveyed 15 students in his class to determine how many pets each had in their household. The results are shown below. What was the mean # of pets?
#of pets l #of students
0 l 5
1 l 3
2 l 4
3 l 2
4 l 1
1.4
400
The solutions to (x+4)²-2=7 are?
-1 and -7
400
At the end of last year, the population of Jason's hometown was approximately 75,000 people. The population is growing at the rate of 2.4% each year. How many years will it take for the population to reach 100,000 people?
After 13 years.
400
Samuel, Jacob, and Lynn are siblings. Samuel is 10 years older than Jacob and ½ the age of Lynn. If their combined age is 46, how old is each one?
Jacob is 4 years old
Samuel is 14 years old
Lynn is 28 years old
400
What is the range of the function f(x) = lx+3l- 5 in interval notation?
⟦-5,∞)
500
Two standard dice are rolled. What is the probability that the sum of both dice is greater than 9?
⅙
500
A rectangular garden is 16 yards long and 40 yards wide. The owner adds the same amount to the length and width, increasing the area by 305 square yards. How much is added to each dimension?
5 yards.
500
A radioactive material has a mass given by m(t)= 126(0.84)^t, where the mass is in grams and the time, t, is in years. What is the average rate of change of the mass in the interval 2≤t≤5 years. Rounded to the nearest tenth.
t≈-12.1
500
Find three consecutive odd integers such that 5 times the middle one is 91 less than 3 times the sum of the first and third.
89,91,93
500
Given f(x)= 4x-3.
Find ⟦f(-2)⟧²
121